Surface growth, rough

In contrast, there is no nucleation barrier for rough surface growth at any supercooling. The growth rate is then simply proportional to v as given by Eq. (3.4), and hence is expected to be linear in AT for small undercoolings. 

Both of the numerical approaches explained above have been successful in producing realistic behaviour for lamellar thickness and growth rate as a function of supercooling. The nature of rough surface growth prevents an analytical solution as many of the growth processes are taking place simultaneously, and any approach which is not stochastic, as the Monte Carlo in Sect. 4.2.1, necessarily involves approximations, as the rate equations detailed in Sect. 4.2.2. At the expense of... 

Operatioa/cleaning The reactor should he cleaned very well. The growth of polymer deposits are usually non-hnear functions of time in which the size of deposits increase rapidly. During cleaning one must also avoid damaging the surface. Cracks, roughness, and surface imperfections represent potential nucleation sites for wall polymer buildup. 

The internal structure or polymorphic state represents the molecular arrangement within a crystal and is manifested in the form of a definite heat of fusion (AHf) value. External structure or crystal habit is the outer description of a crystal and is described by its length, width, thickness, and surface appearance (roughness, smoothness, and porosity). Crystal growth may be impeded by adjacent crystals growing simultaneously or contacting container walls. As a result, the development... 

There is no simple and direct solution of the differential equation of A and C, with x, y, and s (or 8). However, we can consider Equation 15.16 for different cases of 8Ad>/8y as a primary distribution for a smooth and a rough surface growth. 

In the case of generalizing the rough surface growth to a non-regular surface, a generalized methodology can be used. Thus, a linear stability analysis has been carried out in Refs. [6,9]. 

Values of a, p, and z are suitable quantities for the comparison of experimental data and theoretical models. Therefore, the preceding summary of the dynamic scaling approach provides a way for determining the dominant mechanism for the rough surface growth mode, irrespective of vdiether the development of the rough surface results from the accumulation or the dissolution of the solid phase. 

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